3394575360 has 528 divisors, whose sum is σ = 13251000672. Its totient is φ = 796262400.

The previous prime is 3394575347. The next prime is 3394575383. The reversal of 3394575360 is 635754933.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18754470 + ... + 18754650.

Almost surely, 2^3394575360 is an apocalyptic number.

3394575360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3394575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625500336).

3394575360 is an abundant number, since it is smaller than the sum of its proper divisors (9856425312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3394575360 is a wasteful number, since it uses less digits than its factorization.

3394575360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The square root of 3394575360 is about 58262.9844755656. The cubic root of 3394575360 is about 1502.8944644578.

The spelling of 3394575360 in words is "three billion, three hundred ninety-four million, five hundred seventy-five thousand, three hundred sixty".